Partial Differential Equations and Geometric Measure Theory - Cetraro, Italy 2014

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory.  It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods.  The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered.  The lectures, given during the course "Partial Differential Equations and Geometric Measure Theory'' in Cetraro, June 2-7, 2014, should help to encourage further research in the area.  The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.

List of contents

Alberto Farina and Enrico Valdinoci:Introduction.-Alessio Figalli:Global Existence for the Semi-Geostrophic Equations via Sobolev Estimates for Monge-Ampère.-Ireneo Peral Alonso: On Some Elliptic and Parabolic Equations Related to Growth Models.- Enrico Valdinoci: All Functions are (locally) S-harmonic (up to a small error) - and Applications

Summary

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory.  It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods.  The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered.  The lectures, given during the course "Partial Differential Equations and Geometric Measure Theory'' in Cetraro, June 2–7, 2014, should help to encourage further research in the area.  The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.

Product details

• Authors: Alessi Figalli, Alessio Figalli, Irene Peral, Ireneo Peral, Enrico Valdinoci
• Assisted by: Albert Farina (Editor), Alberto Farina (Editor), Valdinoci (Editor), Valdinoci (Editor), Enrico Valdinoci (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2018
• EAN: 9783319740416
• ISBN: 978-3-31-974041-6
• No. of pages: 216
• Dimensions: 156 mm x 13 mm x 235 mm
• Weight: 353 g
• Illustrations: IX, 216 p. 3 illus.
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, B, Optimization, Mathematics and Statistics, Complex systems, Functional Analysis, Genetics and Population Dynamics, Partial Differential Equations, Applied mathematics, Integral calculus & equations, Calculus of Variations and Optimization, Calculus of variations, Calculus of Variations and Optimal Control; Optimization, Integral Equations, Functional analysis & transforms, Biomathematics, System Theory, Population Genetics